3/(9((9x-3)/9x)-9)

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Solution for 3/(9((9x-3)/9x)-9) equation: 


D( x )

9*x*((9*x-3)/9)-9 = 0

9*x*((9*x-3)/9)-9 = 0

9*x*((9*x-3)/9)-9 = 0

(9*x*(9*x-3))/9-9 = 0

(9*x*(9*x-3))/9+(-9*9)/9 = 0

9*x*(9*x-3)-9*9 = 0

81*x^2-27*x-81 = 0

81*x^2-27*x-81 = 0

27*(3*x^2-x-3) = 0

3*x^2-x-3 = 0

DELTA = (-1)^2-(-3*3*4)

DELTA = 37

DELTA > 0

x = (37^(1/2)+1)/(2*3) or x = (1-37^(1/2))/(2*3)

x = (37^(1/2)+1)/6 or x = (1-37^(1/2))/6

27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)) = 0

(27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)))/9 = 0

(27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)))/9 = 0 // * 9

27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)) = 0

( 27 )

27 = 0

x belongs to the empty set

( x-((1-37^(1/2))/6) )

x-((1-37^(1/2))/6) = 0 // + (1-37^(1/2))/6

x = (1-37^(1/2))/6

( x-((37^(1/2)+1)/6) )

x-((37^(1/2)+1)/6) = 0 // + (37^(1/2)+1)/6

x = (37^(1/2)+1)/6

x in (-oo:(1-37^(1/2))/6) U ((1-37^(1/2))/6:(37^(1/2)+1)/6) U ((37^(1/2)+1)/6:+oo)

3/(9*x*((9*x-3)/9)-9) = 0

3/((9*x*(9*x-3))/9-9) = 0

(9*x*(9*x-3))/9-9 = 0

(9*x*(9*x-3))/9+(-9*9)/9 = 0

9*x*(9*x-3)-9*9 = 0

81*x^2-27*x-81 = 0

81*x^2-27*x-81 = 0

27*(3*x^2-x-3) = 0

3*x^2-x-3 = 0

DELTA = (-1)^2-(-3*3*4)

DELTA = 37

DELTA > 0

x = (37^(1/2)+1)/(2*3) or x = (1-37^(1/2))/(2*3)

x = (37^(1/2)+1)/6 or x = (1-37^(1/2))/6

27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)) = 0

(27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)))/9 = 0

(27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)))/9 = 0 // * 9

27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6)) = 0

3/(27*(x-((1-37^(1/2))/6))*(x-((37^(1/2)+1)/6))) = 0

3 = 0

x belongs to the empty set

x belongs to the empty set

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